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Finding the Fourth Proportional to 8,368.47, 12,554.24 and 6,822.18

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Solution

The fourth proportional to 8,368.47, 12,554.24 and 6,822.18 is: 10,234.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,368.47 : 12,554.24 = 6,822.18 : x
  2. Step 2: Convert to fraction form
    8,368.47/12,554.24 = 6,822.18/x
  3. Step 3: Cross multiply
    8,368.47x = 12,554.24 × 6,822.18
  4. Step 4: Simplify right side
    8,368.47x = 85,647,250.93
  5. Step 5: Solve for x
    x = 85,647,250.93/8,368.47
  6. Step 6: Final answer
    x = 10,234.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.